Challenge: Find the Sum of Maximum Sum Subarray

Given an array, find the sum of contiguous subarray with the largest sum.

Maximum Sum Subarray

Given an unsorted array AA, the maximum sum sub-array is the sub-array (contiguous elements) from AA for which the sum of the elements is maximum. In this challenge, we want to find the sum of the maximum sum sub-array. This problem is a tricky one because the array might have negative integers in any position, so we have to cater to those negative integers while choosing the contiguous subarray with the largest positive values.

Here is an example:

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